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math.QA2021
Symmetry Reduction of States II: A non-commutative Positivstellensatz for CPn
Philipp Schmitt, Matthias Schötz
We give a non-commutative Positivstellensatz for CP^n: The (commutative) *-algebra of polynomials on the real algebraic set CP^n with the pointwise product can be realized by phase…
math-ph2021
Symmetry Reduction of States I
Philipp Schmitt, Matthias Schötz
We develop a general theory of symmetry reduction of states on (possibly non-commutative) *-algebras that are equipped with a Poisson bracket and a Hamiltonian action of a commutat…